A radiation detector is used to measure the danger to humans working in a particular room. For illustration, we will model X = the number of radioactive "clicks" registered in a standard time period as a Poisson with mean A. That is to say, P(X = k) = e-dAk for k = 0, 1, 2, ... k! Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not. Suppose that one determines to declare that there is an unsafe radiation level if X > 3.

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc

A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5   21.6 24.3   27.4 21.5     *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.

Gestation For women, pregnancy lasts about 9 months.In other species of animals, the length of time fromconception to birth varies. Is there any evidence thatthe gestation period is related to the animal’s lifespan?The first scatterplot shows Gestation Period (indays) vs. Life Expectancy (in years) for 18 speciesof mammals. The highlighted point at the far rightrepresents humans. a) For these data, r = 0.54, not a very strong relation-ship. Do you think the association would be stronger or weaker if humans were removed?Explain.b) Is there reasonable justification for removing humansfrom the data set? Explain.c) Here are the scatterplot and regression analysis for the17 nonhuman species. Comment on the strength of theassociation.d) Interpret the slope of the line.e) Some species of monkeys have a life expectancy ofabout 20 years. Estimate the expected gestation periodof one of these monkeys.

Below is data of lobster sales volume from a seafood company. We're are using exponential smoothing (α = 0.5) and 3-year moving average to forecast it. a) Fill the blanks above and write your processes below. b) What are the mean absolute deviations (MADs) of the two methods? Whichmethod will you choose based on the results? *Please solve for a-b, either type your work and answers or write them neatly on paper* thank you!

Suppose 4, and u, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 7, x = 113.8, s, = 5.09, n = 7, y = 129.5, and s, = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) In USE SALT Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so wide, it appears that precise information is not available. Because the interval is so narrow, it appears that precise information is available. O Because the interval is so wide, it appears that precise information is available. Because the interval is so narrow, it appears that precise information is not available.

Suppose u, and u, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, x = 115.5, s, = 5.04, n = 9, y = 129.9, and s, = 5.37. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) n USE SALT |-19.56 Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so narrow, it appears that precise information is not available. O Because the interval is so wide, it appears that precise information is not available. O Because the interval is so wide, it appears that precise information is available. O Because the interval is so narrow, it appears that precise information is available.